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100110221001112 = 23736714869327599
BaseRepresentation
bin10110110000110010111010…
…001010010100000110011000
3111010110102222102120112012011
4112300302322022110012120
5101110201213034013422
6552530000045155304
730041503413165640
oct2660627212240630
9433412872515164
10100110221001112
1129997562983733
12b28a04655bb34
1343b247937112a
141aa15094c3520
15b8916aebe077
hex5b0cba294198

100110221001112 has 64 divisors (see below), whose sum is σ = 215121553920000. Its totient is φ = 42784466530176.

The previous prime is 100110221001101. The next prime is 100110221001187. The reversal of 100110221001112 is 211100122011001.

It is a happy number.

It is a super-2 number, since 2×1001102210011122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100110221001092 and 100110221001101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305423889 + ... + 305751487.

It is an arithmetic number, because the mean of its divisors is an integer number (3361274280000).

Almost surely, 2100110221001112 is an apocalyptic number.

It is an amenable number.

100110221001112 is an abundant number, since it is smaller than the sum of its proper divisors (115011332918888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100110221001112 is a wasteful number, since it uses less digits than its factorization.

100110221001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342848 (or 342844 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100110221001112 its reverse (211100122011001), we get a palindrome (311210343012113).

The spelling of 100110221001112 in words is "one hundred trillion, one hundred ten billion, two hundred twenty-one million, one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 367 734 1468 2569 2936 5138 10276 14869 20552 29738 59476 104083 118952 208166 327599 416332 655198 832664 1310396 2293193 2620792 4586386 5456923 9172772 10913846 18345544 21827692 38198461 43655384 76396922 120228833 152793844 240457666 305587688 480915332 841601831 961830664 1683203662 3366407324 4871069531 6732814648 9742139062 19484278124 34097486717 38968556248 68194973434 136389946868 272779893736 1787682517877 3575365035754 7150730071508 12513777625139 14301460143016 25027555250278 50055110500556 100110221001112